Recent content by ccrraappy

  1. C

    Prove Bounded and Continuous Function

    Thanks, I will take some time to digest this.
  2. C

    Prove Bounded and Continuous Function

    I think you certainly got the part about using fixed point right, because we just learned 3 fixed point theorems tarski, banach and brouwer. Someone told me to try contraction on the function but, sorry, i am all lost. Can you tell me more about it? Like giving some steps but leaving out some...
  3. C

    Prove Bounded and Continuous Function

    Homework Statement Prove that the following function is continuous and bounded in R+ Homework Equations f(x) = 1 + \int_0^x e^{-t^2} f(xt) dt \qquad \forall x \geq 0 The Attempt at a Solution I thought of using Taylor Formula, but the integral is t instead of x, so now i have...